Finite Group Databasebeta

← #6508758

Subgroups — #6508758

Order 512.

2298 conjugacy classes of subgroups.

The subgroup lattice has 811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3192C211yesmaximal, characteristic
2C2×#3094C211yesmaximal, characteristic, complemented
3C2×#2500C211yesmaximal, characteristic, complemented
4#34205C211yesmaximal, characteristic, complemented
5#28117C212yesmaximal, complemented
6#28114C212yesmaximal, complemented
7#27651C212yesmaximal, complemented
8#27645C212yesmaximal, complemented
9#25228C214yesmaximal, complemented
10#25218C214yesmaximal, complemented
11#24589C214yesmaximal, complemented
12#24539C214yesmaximal, complemented
13#21934C211yesmaximal, characteristic, complemented
14#21764C211yesmaximal, characteristic, complemented
15#20702C211yesmaximal, characteristic, complemented
16C22×#121C2211yescharacteristic
17C22×#121C2211yescharacteristic
18C2×#518—21no—
19C22×#117C2211yescharacteristic
20#3192—28no—
21#3094—28no—
22C2×#481C2212yes—
23C2×#481C2212yes—
24C2×#481C2212yes—
25C2×#482C2214yescomplemented
26C2×#480C2212yes—
27C2×#469C2214yes—
28C2×#447C2212yes—
29C2×#447C2212yes—
30C2×#428C2212yescomplemented
31C2×#418C2212yescomplemented
32C2×#407C2211yescharacteristic
33C2×#407C2211yescharacteristic
34#2500—22no—
35#2500—22no—
36#2500C2214yes—
37#2500C2214yescomplemented
38C2×#394—21no—
39C2×#394—21no—
40#2364—22no—
41#2361C2212yescomplemented
42#2361C2212yescomplemented
43#2344C2212yescomplemented
44#2342—22no—
45D4×C22⋊C4C2212yescomplemented
46#2325—21no—
47#2325—21no—
48#2308—21no—
49C4×#121C2212yes—
50C4×#121C2212yes—
51C2×#390C2211yescharacteristic, complemented
52C2×#390C2211yescharacteristic, complemented
53C2×#388—21no—
54C2×#388—21no—
55C2×#384C2211yescharacteristic, complemented
56C2×#382C2211yescharacteristic, complemented
57C2×#380C2211yescharacteristic
58C2×C4×C22⋊C4C2211yescharacteristic
59#2085C2214yescomplemented
60#2084C2214yescomplemented
61#2073C2214yescomplemented
62#2071C2214yescomplemented
63#2067C2214yescomplemented
64#2065C2214yescomplemented
65#2054C2214yescomplemented
66#2054C2214yescomplemented
67#1949C2214yescomplemented
68#1948C2214yescomplemented
69#1926C2214yescomplemented
70#1925C2214yescomplemented
71#1895C2214yes—
72#1879C2214yescomplemented
73#1879C2214yescomplemented
74#1874C2212yescomplemented
75#1874C2212yescomplemented
76#1851C2214yescomplemented
77#1851C2214yescomplemented
78#1825C2214yescomplemented
79#1824C2212yescomplemented
80#1824C2212yescomplemented
81#1823C2212yescomplemented
82#1804C2214yescomplemented
83#1802C2214yescomplemented
84#1797C2212yescomplemented
85#1797C2212yescomplemented
86#1786C2212yescomplemented
87#1736C2212yescomplemented
88#1736C2212yescomplemented
89C23×D4—21no—
90C23×D4—21no—
91C23×D4C2311yescharacteristic
92C23×D4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C22×D8C2314yes—
95C22×M16C2312yes—
96C22×M16C2312yes—
97C2×#121—21no—
98C2×#121—21no—
99C2×#121—24no—
100C2×#121—21no—
101C2×#121—21no—
102C2×#121—24no—
103C2×#121—24no—
104C2×#121D418yes—
105C2×#121C2312yes—
106C2×#121C2312yes—
107C2×#121C2312yes—
108C2×#121C2312yes—
109#518—48no—
110C2×C4×D4—22no—
111C2×C4×D4—22no—
112C2×C4×D4—22no—
113C2×C4×D4—22no—
114C2×C4×D4C2312yes—
115C2×C4×D4C2312yes—
116C2×#117—21no—
117C2×#117—21no—
118C2×#117—22no—
119C2×#117—24no—
120C2×#117—24no—
121C2×#117C2312yes—
122C2×#117C2312yes—
123C22×C4⋊C4—21no—
124C22×C4⋊C4—21no—
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—22no—
140C22×C22⋊C4D411yescharacteristic
141C22×C22⋊C4D411yescharacteristic
142C22×C42—21no—
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145#482—216no—
146#481—28no—
147#481—28no—
148#481—28no—
149#480—28no—
150#469—216no—
151#447—28no—
152#447—28no—
153#428—28no—
154C2×#107C2314yes—
155C2×#106C2314yes—
156C2×#106C2314yes—
157C2×C4⋊C8C2314yes—
158C2×C4⋊C8C2314yes—
159#418—28no—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166#407—24no—
167#407—24no—
168C2×C22⋊C8C2312yes—
169C2×C22⋊C8C2312yes—
170C2×C22⋊C8C2312yes—
171C2×C22⋊C8C2312yes—
172#394—24no—
173#394—24no—
174#394—24no—
175#394—24no—
176#390—22no—
177#390—22no—
178#390C2312yes—
179#390C2312yes—
180#390C2314yes—
181#390C2314yes—
182#389C2312yes—
183#389C2312yes—
184#388—22no—
185#388—22no—
186#388—22no—
187#388—22no—
188#388—24no—
189#388—24no—
190#388—24no—
191#388—24no—
192#387—22no—
193#387—22no—
194#386—22no—
195#386—22no—
196#386—22no—
197#386—22no—
198#386—22no—
199#386—22no—
200#385—22no—
201#385—22no—
202#384—22no—
203#384C2314yes—
204#382—22no—
205#382C2314yes—
206#381—22no—
207#380—21no—
208#380—21no—
209#380C2312yes—
210#380C2312yes—
211#379—22no—
212C4×C4⋊C4C2312yes—
213C4×C4⋊C4C2312yes—
214C4×C22⋊C4—22no—
215C4×C22⋊C4—22no—
216C4×C22⋊C4D412yes—
217C4×C22⋊C4D412yes—
218C4×C22⋊C4C2312yes—
219C4×C22⋊C4C2312yes—
220C2×#95—21no—
221C2×#95—21no—
222C2×#95—21no—
223C2×#95D411yescharacteristic
224C2×#95D411yescharacteristic
225#340C2314yes—
226#340C2314yes—
227#340C2314yes—
228#340C2314yes—
229#340C2314yes—
230#340C2314yes—
231#336C2314yes—
232#336C2314yes—
233C25—21no—
234C25—21no—
235C25C2×D411yescharacteristic
236C22×D4—28no—
237C22×D4—22no—
238C22×D4—22no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—21no—
242C22×D4—22no—
243C22×D4—21no—
244C22×D4—22no—
245C22×D4—22no—
246C22×D4—42no—
247C22×D4—42no—
248C22×D4—42no—
249C22×D4—42no—
250C22×D4—44no—
251C22×D4—44no—
252C22×D4—44no—
253C22×D4—82no—
254C22×D4—82no—
255C22×D4C2×D414yes—
256C22×D4C2412yes—
257C22×D4C2412yes—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—42no—
267C23×C4—42no—
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D414yes—
275C23×C4C2×D411yescharacteristic
276C23×C4#4114yes—
277C23×C4C2411yescharacteristic
278C23×C4C2411yescharacteristic
279C23×C4C2411yescharacteristic
280C2×D8—28no—
281C2×D8—44no—
282C2×D8—44no—
283C2×M16—24no—
284C2×M16—24no—
285C2×M16—42no—
286C2×M16—42no—
287C2×M16—42no—
288C2×M16—42no—
289C22×C8C2414yes—
290C22×C8C2414yes—
291#121—28no—
292#121—28no—
293#121—24no—
294#121—24no—
295#121—24no—
296#121—24no—
297#121—24no—
298#121—24no—
299#121—44no—
300#121—44no—
301#121C2×D418yes—
302#121C2×D418yes—
303C4×D4—44no—
304C4×D4—44no—
305C4×D4—48no—
306C4×D4—48no—
307C4×D4—48no—
308C4×D4—48no—
309#117—24no—
310#117—24no—
311#117—24no—
312#117—24no—
313#117—48no—
314#117—44no—
315#117—44no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—42no—
334C2×C4⋊C4—42no—
335C2×C4⋊C4—82no—
336C2×C4⋊C4—82no—
337C2×C4⋊C4C2×D414yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C22⋊C4—28no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—48no—
365C2×C22⋊C4—42no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—44no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4—82no—
372C2×C22⋊C4—82no—
373C2×C22⋊C4C2×D412yes—
374C2×C22⋊C4C2×D412yes—
375C2×C22⋊C4C2×D412yes—
376C2×C22⋊C4C2×D412yes—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—42no—
382C2×C42—42no—
383C2×C42—44no—
384C2×C42C2×D412yes—
385C2×C42C2×D412yes—
386C2×C42C2412yes—
387C2×C42C2412yes—
388#107—28no—
389#106—28no—
390#106—28no—
391C4⋊C8—44no—
392C4⋊C8—44no—
393#102—28no—
394#102—28no—
395#102—28no—
396#102—28no—
397#102—44no—
398#102—44no—
399C22⋊C8—24no—
400C22⋊C8—24no—
401C22⋊C8—24no—
402C22⋊C8—24no—
403#95—22no—
404#95—22no—
405#95—24no—
406#95—24no—
407#95—22no—
408#95—22no—
409#95—22no—
410#95—22no—
411#95C2×D412yes—
412#95C2×D412yes—
413#95C2×D412yes—
414#95C2×D412yes—
415C24—22no—
416C24—22no—
417C24—22no—
418C24—24no—
419C24—22no—
420C24—41no—
421C24—41no—
422C24—41no—
423C24—41no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24—42no—
430C24—42no—
431C24—42no—
432C24—42no—
433C24—81no—
434C24—81no—
435C24—81no—
436C24—81no—
437C24#12114yes—
438C24C22×D411yescharacteristic
439C24C22×D411yescharacteristic
440C24C22×D411yescharacteristic
441C2×D4—28no—
442C2×D4—28no—
443C2×D4—24no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—24no—
448C2×D4—24no—
449C2×D4—24no—
450C2×D4—24no—
451C2×D4—48no—
452C2×D4—42no—
453C2×D4—42no—
454C2×D4—44no—
455C2×D4—432no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—42no—
462C2×D4—84no—
463C2×D4—84no—
464C2×D4—84no—
465C2×D4—81no—
466C2×D4—81no—
467C2×D4—82no—
468C2×D4—82no—
469C2×D4—82no—
470C2×D4—82no—
471C2×D4—816no—
472C2×D4C22×D414yes—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—48no—
490C22×C4—48no—
491C22×C4—41no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—44no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—44no—
520C22×C4—82no—
521C22×C4—82no—
522C22×C4—82no—
523C22×C4—82no—
524C22×C4—81no—
525C22×C4—81no—
526C22×C4—81no—
527C22×C4—81no—
528C22×C4#12114yes—
529C22×C4#12114yes—
530C22×C4#12114yes—
531C22×C4AGL(1,ℤ/8)14yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D412yes—
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D412yes—
539C22×C4C22×D412yes—
540C22×C4C22×D412yes—
541C22×C4C22×D412yes—
542C22×C4C2×#4112yes—
543C22×C4C2×#4112yes—
544C22×C4C2×#4112yes—
545C22×C4C2511yescharacteristic
546D8—88no—
547M16—48no—
548M16—84no—
549C2×C8—24no—
550C2×C8—24no—
551C2×C8—24no—
552C2×C8—24no—
553C2×C8—24no—
554C2×C8—24no—
555C4⋊C4—24no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—44no—
570C4⋊C4—81no—
571C4⋊C4—81no—
572C4⋊C4—84no—
573C4⋊C4—84no—
574C4⋊C4C22×D414yes—
575C22⋊C4—28no—
576C22⋊C4—28no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—42no—
580C22⋊C4—42no—
581C22⋊C4—48no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—48no—
590C22⋊C4—44no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C22⋊C4—84no—
594C22⋊C4—84no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C42—24no—
598C42—24no—
599C42—42no—
600C42—42no—
601C42—44no—
602C42—44no—
603C42—44no—
604C42—44no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—28no—
622C23—24no—
623C23—44no—
624C23—44no—
625C23—48no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—82no—
640C23—82no—
641C23—82no—
642C23—82no—
643C23—84no—
644C23—84no—
645C23—84no—
646C23—84no—
647C23—84no—
648C23—84no—
649C23—84no—
650C23—84no—
651C23—84no—
652C23—162no—
653C23—162no—
654C23—162no—
655C23—162no—
656C23C2×#12112yes—
657C23C2×#12112yes—
658C23C2×#12112yes—
659C23C2×AGL(1,ℤ/8)12yes—
660C23#57512yes—
661C23C23×D411yescharacteristic
662D4—28no—
663D4—416no—
664D4—416no—
665D4—44no—
666D4—44no—
667D4—44no—
668D4—84no—
669D4—84no—
670D4—88no—
671D4—88no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—24no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—48no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—82no—
720C2×C4—82no—
721C2×C4—84no—
722C2×C4—84no—
723C2×C4—84no—
724C2×C4—164no—
725C2×C4—164no—
726C2×C4—162no—
727C2×C4—162no—
728C2×C4C2×#12112yes—
729C2×C4C2×#12112yes—
730C2×C4C2×#12112yes—
731C2×C4C2×AGL(1,ℤ/8)14yes—
732C2×C4C23×D411yescharacteristic
733C2×C4C22×#4111yescharacteristic
734C2×C4#58512yes—
735C2×C4#58512yes—
736C8—44no—
737C8—44no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22—41no—
754C22—41no—
755C22—41no—
756C22—41no—
757C22—41no—
758C22—44no—
759C22—44no—
760C22—44no—
761C22—88no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22—82no—
769C22—82no—
770C22—82no—
771C22—82no—
772C22—82no—
773C22—168no—
774C22—168no—
775C22#303614yes—
776C22C22×#12111yescharacteristic
777C22#348511yescharacteristic
778C22#348511yescharacteristic
779C22C22×AGL(1,ℤ/8)11yescharacteristic
780C22C2×#57511yescharacteristic
781C22#358511yescharacteristic
782C22#358511yescharacteristic
783C4—24no—
784C4—22no—
785C4—22no—
786C4—22no—
787C4—42no—
788C4—42no—
789C4—42no—
790C4—44no—
791C4—82no—
792C4—82no—
793C4—82no—
794C4—82no—
795C4—82no—
796C4#348512yes—
797C4#349112yes—
798C2—24no—
799C2—42no—
800C2—42no—
801C2—84no—
802C2—162no—
803C2#3544711yescharacteristic
804C2C2×#303611yescharacteristic
805C2#6042611yescharacteristic
806C2#6170711yescharacteristic
807C2#6171011yescharacteristic
808C2#6171811yescharacteristic
809C2#6172011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3192C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#3094C2semidirect
3. C2×#2500C2semidirect
4. #34205C2semidirect
5. #28117C2semidirect
6. #28114C2semidirect
7. #27651C2semidirect
8. #27645C2semidirect
9. #25228C2semidirect
10. #25218C2semidirect
11. #24589C2semidirect
12. #24539C2semidirect
13. #21934C2semidirect
14. #21764C2semidirect
15. #20702C2semidirect
25. C2×#482C22semidirect
30. C2×#428C22semidirect
31. C2×#418C22semidirect
37. #2500C22semidirect
41. #2361C22semidirect
42. #2361C22semidirect
43. #2344C22semidirect
45. D4×C22⋊C4C22semidirect
51. C2×#390C22semidirect
52. C2×#390C22semidirect
55. C2×#384C22semidirect
56. C2×#382C22semidirect
59. #2085C22semidirect
60. #2084C22semidirect
61. #2073C22semidirect
62. #2071C22semidirect
63. #2067C22semidirect
64. #2065C22semidirect
65. #2054C22semidirect
66. #2054C22semidirect
67. #1949C22semidirect
68. #1948C22semidirect
69. #1926C22semidirect
70. #1925C22semidirect
72. #1879C22semidirect
73. #1879C22semidirect
74. #1874C22semidirect
75. #1874C22semidirect
76. #1851C22semidirect
77. #1851C22semidirect
78. #1825C22semidirect
79. #1824C22semidirect
80. #1824C22semidirect
81. #1823C22semidirect
82. #1804C22semidirect
83. #1802C22semidirect
84. #1797C22semidirect
85. #1797C22semidirect
86. #1786C22semidirect
87. #1736C22semidirect
88. #1736C22semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#31922
C2×#30942
C2×#25002
#342052
#281172
#281142
#276512
#276452
#252282
#252182
#245892
#245392
#219342
#217642
#207022